Drag the TranslationVector around until you understand how the sketch works.[br]When the Image is to the right of the Preimage, what can you say about the TranslationVector? What is positive, what is negative, what is zero?[br]When the Image is to the left of the Preimage, what can you say about the TranslationVector?[br]When the Image is above the Preimage, what can you say about the TranslationVector?[br]When the Image is below the Preimage, what can you say about the TranslationVector?[br]When the Image is above and to the right of the Preimage, what can you say about the TranslationVector?[br]When the Image is above and to the left of the Preimage, what can you say about the TranslationVector?[br]When the Image is below and to the right of the Preimage, what can you say about the TranslationVector?[br]When the Image is below and to the left of the Preimage, what can you say about the TranslationVector?[br]Drag the TranslationVector back to (3,1)[br]Write the coordinates of A(1,2) and A'([br]Write the coordinates of B(1,4) and B'([br]Write the coordinates of C(2,5) and C'([br]Write the coordinates of D(3,4) and D'([br]Write the coordinates of E(2,3) and E'([br]Write the coordinates of F(2,2) and F'([br]How can you combine the coordinates of A with the TranslationVector(3,1) to get the coordinates of A'?[br]How can you combine the coordinates of B with the TranslationVector(3,1) to get the coordinates of B'?[br]How can you combine the coordinates of any Preimage point with the TranslationVector(3,1) to get the coordinates of the Image point?[br]If there were a Preimage point P(x,y) and a TranslationVector(3,1), what would be the coordinates of P'?[br]If there were a Preimage point P(x,y) and a TranslationVector(h,k), what would be the coordinates of P'?[br]Drag the TranslationVector until the Image is exactly on top of the Preimage. What is the TranslationVector?[br]This translation is called the IDENTITY Translation. How is this like the Identity Property of Addition? (You may need to check your textbook Page 19 to remember what this is.)[br]Move the Image so that it is 2 to the right and 3 up.[br]INVERSE translations undo each other. An Inverse vector will go from the Image back to the Preimage.[br]In the left panel, scroll down until you find InverseTranslationVector. Click the hollow circle to the left of the name so that the vector becomes visible.[br]When the TranslationVector is (2,3)? What is the InverseTranslationVector?[br]Move the TranslationVector to (-2,3)? What is the InverseTranslationVector?[br]Move the TranslationVector to (-2,-3)? What is the InverseTranslationVector?[br]Move the TranslationVector to (2,-3)? What is the InverseTranslationVector?[br]When the TranslationVector is (x,y), what is the InverseTranslationVector?